%I
%S 3,8,15,25,39,58,83,115,155,204,263,333,415,510,619,743,883,1040,1215,
%T 1409,1623,1858,2115,2395,2699,3028,3383,3765,4175,4614,5083,5583,
%U 6115,6680,7279,7913,8583,9290,10035,10819,11643,12508,13415,14365,15359
%N Number of n X 2 0..2 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the sum of elements above it, modulo 3.
%H R. H. Hardin, <a href="/A238806/b238806.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (1/6)*n^3 + (23/6)*n  1.
%F Conjectures from _Colin Barker_, Oct 24 2018: (Start)
%F G.f.: (3  4*x + x^2 + x^3) / (1  x)^4.
%F a(n) = 4*a(n1)  6*a(n2) + 4*a(n3)  a(n4) for n>4.
%F (End)
%e Some solutions for n=5:
%e ..0..0....0..0....2..2....0..0....0..0....0..0....2..2....2..2....0..2....0..2
%e ..0..0....0..0....2..1....0..0....0..2....0..2....2..1....2..1....0..2....2..1
%e ..0..2....0..0....0..0....2..2....0..2....0..2....0..0....0..2....0..0....2..2
%e ..0..2....0..0....0..0....2..2....2..1....0..0....0..0....0..2....0..0....0..2
%e ..2..1....2..2....0..2....0..0....2..1....0..0....0..0....0..0....2..1....0..0
%Y Column 2 of A238812.
%K nonn
%O 1,1
%A _R. H. Hardin_, Mar 05 2014
